Note that in matching the BRST transformations in [1]} with
our transformations in section REF  we can see that the
normalisations of \(c_\mu \) , \(d_\mu \)  and \(d\)  (and their conjugates) are the
same, but we must introduce a scaling factor that relates our \(\eta \)  ghost
and the corresponding \(\eta ^{\prime }\)  ghost in [1]}. From a matching of the BRST transformations we deduce that our parameters in the \(\hat{\cal {L}^{\prime }}\)  Lagrangian (REF ), and the relation between \(\eta \)  and \(\eta ^{\prime }\) , must be chosen so that
\(\beta _4 &=& -\bar{\beta }_4 = 2\beta _5\,,\qquad \beta _6=0\,,\qquad \gamma _3=-{\textstyle {\frac{\scriptstyle 1}{\scriptstyle 2} } } \gamma _2\,,\nonumber \\\gamma _1 &=& 2\gamma _2\, \xi _h\,,\qquad \beta _2=2\beta _3\, \xi _B\,,\qquad \beta _1=-\beta _2\, \xi _d\,, \qquad \eta ^{\prime }= {\textstyle {\frac{\scriptstyle 1}{\scriptstyle 2} } } \xi _B\, \eta \,.\) 
